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Finding the Fourth Proportional to 345.77, 518.74 and 199.61

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Solution

The fourth proportional to 345.77, 518.74 and 199.61 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.77 : 518.74 = 199.61 : x
  2. Step 2: Convert to fraction form
    345.77/518.74 = 199.61/x
  3. Step 3: Cross multiply
    345.77x = 518.74 × 199.61
  4. Step 4: Simplify right side
    345.77x = 103,542.60
  5. Step 5: Solve for x
    x = 103,542.60/345.77
  6. Step 6: Final answer
    x = 299.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.